Dilations HW

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If the scale factor of a dilation is 1/3, what type of transformation is it?

Back

It is a reduction.

Front

What is the scale factor if a triangle is enlarged to twice its original size?

Back

The scale factor is 2.

Front

True or False: A dilation can only be an enlargement.

Back

False.

Front

True or False: A dilation can be both an enlargement and a reduction.

Back

True.

Front

If the coordinates of a point C are (3, 2) and the scale factor is 1/3, what are the coordinates of C' after dilation?

Back

C' would be (1, 2/3).

Front

What is the effect of a scale factor of 1 on a figure during dilation?

Back

The figure remains unchanged.

Front

If a triangle has vertices at (1, 1), (2, 2), and (3, 3), and is dilated by a scale factor of 2, what are the new coordinates?

Back

The new coordinates are (2, 2), (4, 4), and (6, 6).